Speak with someone in finance, and discuss how the budget is prepared. Know the amount of the city's budget and what percentage goes towards the police department. Know the type of budget your city uses. Is it a line item budget, a program budget, a combination of the two, or some other type of budget not mentioned? Does it have a five or ten-year forecast? Again, ask questions until you are comfortable with the budget process. Now, you may not think it is necessary to know about the department's budget, but it is. It is true that other personnel may be handling the budget process for the department, but as a supervisor you will be responsible for certain items or programs in the department's budget. You may not receive any questions concerning the budget during the testing process, but wouldn't it be nice to have the answers in the event that one of the raters wanted to determine just how much preparation you really did during this process?
"Describe the type of budget you are working with" was always a question I would ask, both as a rater and as chief, when I was having my interview with a candidate. It didn't matter if the candidate was trying for senior officer (two stripes), sergeant, lieutenant, or a captain's position; I expected them to have some idea of the department's budget. How would you know if you were going over budget if you didn't know what the budget was to begin with?
If your department has a mission statement, be familiar with its contents. Does your department participate in community oriented policing? If so, know what it stands for and determine how you feel it benefits or doesn't benefit the community and the department. Be prepared to defend your answer. Also, if you believe it can be improved upon, have a plan in mind so you can explain it to the raters in case they want to hear your opinion. I always believed in a quote by Henry Ford: "Don't bring me your problems, bring me your solutions." Part of your plan should include how you will get your troops to buy into this philosophy. Remember, it is a philosophy, not a program. Again, this is something to think about.